no code implementations • 3 Apr 2023 • William Bernardoni, Robert Cardona, Jacob Cleveland, Justin Curry, Robert Green, Brian Heller, Alan Hylton, Tung Lam, Robert Kassouf-Short
In this paper we introduce some new algebraic and geometric perspectives on networked space communications.
no code implementations • 22 Dec 2021 • Robert Cardona, Justin Curry, Tung Lam, Michael Lesnick
Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an $\ell^p$-type extension of the interleaving distance on merge trees.
no code implementations • 3 Mar 2021 • Robert Cardona
The periodic orbit conjecture states that, on closed manifolds, the set of lengths of the orbits of a non-vanishing vector field all whose orbits are closed admits an upper bound.
Dynamical Systems Differential Geometry
no code implementations • 23 Dec 2020 • Robert Cardona, Eva Miranda, Daniel Peralta-Salas, Francisco Presas
Concerning fluid flows, Moore asked in  if hydrodynamics is capable of performing computations.
Dynamical Systems Computational Complexity Analysis of PDEs Symplectic Geometry